<p>We compute the correlation function between a circular half-BPS Wilson loop (or straight Wilson line) and a local operator in ABJM theory utilizing its M-theory description. The local operator can be a 1/3-BPS single-trace chiral primary operator or the stress-energy tensor. Using the AdS/CFT correspondence, these correlators are dual to fluctuations of a probe M2-brane in AdS<sub>4</sub> × <i>S</i><sup>7</sup>/<i>ℤ</i><sub><i>k</i></sub>. We derive analytic results for both cases and compare them with existing results based on supersymmetric localization in the literature. In the large-<i>N</i> limit with <i>k</i> finite, our holograkphic results exhibit perfect agreement with localization.</p>

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Holographic Wilson loop one-point functions in ABJM theory

  • Xiao-Yi Zhang,
  • Yunfeng Jiang,
  • Jun-Bao Wu

摘要

We compute the correlation function between a circular half-BPS Wilson loop (or straight Wilson line) and a local operator in ABJM theory utilizing its M-theory description. The local operator can be a 1/3-BPS single-trace chiral primary operator or the stress-energy tensor. Using the AdS/CFT correspondence, these correlators are dual to fluctuations of a probe M2-brane in AdS4 × S7/k. We derive analytic results for both cases and compare them with existing results based on supersymmetric localization in the literature. In the large-N limit with k finite, our holograkphic results exhibit perfect agreement with localization.